On extending homeomorphisms to Fréchet manifolds

Authors:
R. D. Anderson and John D. McCharen

Journal:
Proc. Amer. Math. Soc. **25** (1970), 283-289

MSC:
Primary 57.55

MathSciNet review:
0258064

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be a Fréchet manifold and be a -set in . It is shown that a homeomorphism of into can be isotopically extended to a homeomorphism of onto if and only if is a -set and is homotopic to the identity in . Conditions under which the isotopic extension can be required to be ``close to'' the homotopy are also given.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1970-0258064-5

Keywords:
Fréchet manifolds,
infinite-dimensional manifolds,
-sets,
Property ,
homeomorphism extension,
ambient isotopy

Article copyright:
© Copyright 1970
American Mathematical Society